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Finding the Third Proportional to 33,160 and 72,530

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Solution

The third proportional to 33,160 and 72,530 is: 158,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,160 : 72,530 = 72,530 : x
  2. Step 2: Convert to fraction form
    33,160/72,530 = 72,530/x
  3. Step 3: Cross multiply
    33,160x = 72,530 × 72,530
  4. Step 4: Simplify right side
    33,160x = 5,260,600,900
  5. Step 5: Solve for x
    x = 5,260,600,900/33,160
  6. Step 6: Final answer
    x = 158,642.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.